Volume 9
Issue 3
Civil Engineering
JOURNAL OF
POLISH
AGRICULTURAL
UNIVERSITIES
Available Online: http://www.ejpau.media.pl/volume9/issue3/abs-11.html
ON THE EFFECT OF PERIOD LENGTHS ON DYNAMIC STABILITY OF THIN BIPERIODIC CYLINDRICAL SHELLS
Barbara Tomczyk
Department of Structural Mechanics,
Łodz University of Technology, Poland
ABSTRACT
The object of considerations is a thin linear-elastic cylindrical shell having a periodic structure (i.e. a periodically varying thickness and/or periodically varying elastic and inertial properties) in both directions tangent to the shell midsurface. Such shells are called biperiodic. The aim of this paper is to propose a new averaged non-asymptotic model of biperiodic shells, which makes it possible to investigate parametric vibrations and dynamical stability of the shells under consideration.
As a tool of modeling we shall apply the tolerance averaging technique. The resulting equations have constant coefficients. Moreover, in contrast with models obtained by the known asymptotic homogenization technique, the proposed one takes into account the effect of the period lengths on the overall dynamic shell behavior, called a length-scale effect. It will be shown that this effect plays an important role in the dynamical stability analysis of the shells considered in this paper.
Key words: thin periodic cylindrical shell, dynamical stability, the length-scale effect.
Barbara Tomczyk
Department of Structural Mechanics,
Łodz University of Technology, Poland
Al. Politechniki 6, 90-924 Łodz, Poland
email: btomczyk@p.lodz.pl
Responses to this article, comments are invited and should be submitted within three months of the publication of the article. If accepted for publication, they will be published in the chapter headed 'Discussions' and hyperlinked to the article.